Readme.txt
资源名称:PanoTools.zip [点击查看]
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上传日期:2021-10-17
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2D图形编程
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Visual C++
- Readme Panorama Tools for Macintosh/ Windows/ Linux
- Notes to version 2.1:
- =====================
- o GraphicConverter version updated for new Plugin interface.
- Now requires at least GC version 2.8
- Notes to version 2.0.b1/2:
- =========================
- o Seamer rewritten. Performs faster on large
- images and yields better results.
- Notes to version 2.0.b0:
- =======================
- o Tiff-writer for temporary files corrected (Only non Photoshop
- hosts for Photoshop plug-in affected).
- Notes to version 1.9.2:
- =======================
- o Correction mode for scanning cameras (PanoScan) added.
- Notes to version 1.9.1:
- =======================
- o Adjust Tool accepts 'PSphere' images as input
- o Bug fixes regarding Photoshop file creation.
- Notes to version 1.9.0:
- =======================
- o Scaling function in 'Correct'-menu changed: If one
- of width/height is set to 0, aspect ratio is preserved.
- o Some compatibility problems with PTStitcher/PTOptimizer
- solved.
- General Features:
- =================
- Panorama Tools is a free program which can be used to
- generate, edit and transform many kinds of panoramic images.
- Its five main functionalities are:
- o Correction of images.
- Automatic cropping of images to brightest rectangle.
- Remove all sorts of barrel and/or pincussion distortion.
- Correct light fall-off at edges of your wide angle shots.
- Correct chromatic errors (colour separation) of your lens.
- Correct chromatic errors (colour separation) of your scanner.
- Skew/Unskew your images horizontally or vertically.
- Correction of scanning slit cameras
- Fourier Transform Filtering/Wiener Filter
- o Perspective Control
- Simulates a shift lens in software
- For normal and fisheye lenses
- o Remap from any projection to any projection
- Warp and unwarp normal, panoramic and fisheye images.
- Convert equirectangular LivePicture panos to QTVR-panos and vice-versa
- Convert mirror images (BeHere-setup or similar) to any panorama and
- vice-versa. Convert fisheye images to any panorama and vice-versa
- Unwarp panorama sections (QTVR and LivePicture) to edit in Photoshop, then
- rewarp and seamlessly insert back.
- o Adjust images into a panoramic view
- Generate full panoramic view using any mixture of normal, fisheye
- and panoramic images.
- Built-in optimizer to find optimum pitch/roll/yaw for a given image
- to fit a panorama
- Built-in optimizer to find optimum correction settings for a given image.
- Built-in stitching tool to automatically merge images into a panoramic
- view.
- Automatic colour adjustment of to be merged images
- Extract any view (normal/fisheye/panoramic) from any
- panorama (RealVR/QTVR/rectilinear)
- Insert any image (normal/fisheye/panoramic) into any
- panorama (RealVR/QTVR/rectilinear)
- o Realtime Panorama Editor (only Photoshop/Gimp version)
- The realtime Panorama Editor is a separate Plug-in which
- makes the Photoshop window an editable VR-viewer. You can pan
- left and right, tilt up and down, and zoom in and out. At any
- time you can use all Photoshop/Gimp tools to edit the image and
- instantly apply the changes to the warped panoramic image
- while keeping the interactive window open. This can be done
- with any view ("camera") and any panorama (see 'adjust' above).
- The latest version is alway available from my website
- <http://www.fh-furtwangen.de/~dersch>. There is also some
- documentation and a few example panoramas.
- Requirements and Installation:
- ==============================
- Windows:
- ========
- A Photoshop compatible plug-in host running under 32bit-Windows
- is required. Installation:
- - If you have a previous version of Panorama Tools: Remove
- all plug-ins (the files 'correct.8bf', 'adjust.8bf', 'perspect.8bf'
- and 'remap.8bf'), the library file 'pano12.dll' and all preferences
- files ('pano12.prf' for the most recent version). The current
- version generates just one preferences file 'pano12.prf'.
- Panorama Tools may crash if it loads an obsolete preferences file.
- - Place the file 'pano12.dll' into the same directory as the
- Photoshop program (or your plug-in host). If you use PTStitcher
- and/or PTOptimizer together with Panorama Tools, you should place
- the library 'pano12.dll' into your WindowsSystem directory instead.
- - Place the files 'correct.8bf', 'adjust.8bf', 'perspect.8bf'
- and 'remap.8bf' into the Plugins folder for 'Filters'. If you have
- a non-Photoshop plug-in host, check the documentation of your
- program about how to generate and register this folder.
- - The file 'PanCntrl.8bf' contains the plug-ins for the interactive
- editor. Place it also in the 'Filter' directory. It only works
- if your plug-in host accepts multiple plug-ins in one file (Photoshop
- works, but Picture Publisher not ). If you want to use shortcuts
- for these commands, you can install the action-set 'PanActions',
- and set function keys for each command.
- - Restart Photoshop. You should find the Tools in the Filters submenu.
- Macintosh:
- =========
- There are two Macintosh versions of Panorama Tools: One ('PTools')
- which runs as plug-in in any Photoshop-compatible host, and
- one (the files 'correct', 'perspect', 'remap', 'adjust') that runs
- as plug-in under the shareware program 'GraphicConverter'.
- GraphicConverter is available from http://www.lemkesoft.de.
- Both versions use and need the library file 'pano12.lib'.
- (a) Photoshop compatible host
- - If you have a previous installation of Panorama Tools: Remove
- the plug-in (the file 'PTools'), delete the library file
- 'pano12.lib' from your System's 'Extensions' folder, and the
- preferences file 'pano.pref' from your System's 'Preferences' folder.
- Panorama Tools may crash if it loads an obsolete preferences file.
- - Drop the file 'pano12.lib' onto your 'System Folder' icon.
- Your system should ask whether to put the file into the
- 'Extensions' folder. Click OK.
- - Place the file 'PTools' into Photoshop's Plugins folder for
- 'Filters'. Please note that this file contains all four Panorama Tools
- and the pan control plug-ins.If you have a non-Photoshop plug-in host, check the
- documentation of your program about how to generate and register this folder.
- This file also holds the new plug-ins 'Pan Controls'. If you want to use
- shortcuts for these commands, you can install the action-set 'PanActions',
- and set function keys for each command.
- - Restart Photoshop. You should find the Tools in the Filters submenu.
- (b) GraphicConverter (version 3.4 or above required!)
- - If you have a previous installation of Panorama Tools: Remove
- all plug-ins (the files 'correct', 'perspect', 'remap', 'adjust').
- There is currently no version of the pan-controls for GraphicConverter.
- Delete the library file 'pano12.lib' from your System's 'Extensions'
- folder, and the preferences file 'pano.pref' from your System's 'Preferences'
- folder. Panorama Tools may crash if it loads an obsolete preferences file.
- - Drop the file 'pano12.lib' onto your 'System Folder' icon.
- Your system should ask whether to put the file into the
- 'Extensions' folder. Click OK.
- - Place the files 'correct', 'perspect', 'remap', 'adjust' into
- GraphicConverter's Plugins folder.If you don't have this folder: check the
- documentation of GraphicConverter about how to generate and register it.
- - Restart GraphicConverter. You should find the Tools in the 'Effects' submenu.
- Linux:
- ======
- - If you have a previous installation of Panorama Tools: Remove
- the plug-in (the file 'PanTools') from your plug-ins folder,
- and the preferences file 'pano12.prf' from your '.gimp' directory.
- Panorama Tools may crash if it loads an obsolete preferences file.
- - Put the plug-in (the file 'PanTools') into your plug-ins folder
- (eg HOME/.gimp/plug-ins/).
- - Restart Gimp. You should find the Tools in the 'Filters' submenu.
- How to use the filters:
- =======================
- This is just a very brief introduction of the various features. You can get
- more info in the documentation package at my site, which contains a tutorial
- with example images on how to make panoamic images. There are also a couple
- of other publications at my site describing other uses of Panorama Tools,
- like
- o Using Fisheye lenses for Architecture. Dewarping, Shift and Tilt correction
- can be performed in one step.
- o Making micropanoramas with convex mirrors.
- o Barrel and Pincussion corrections of any lens.
- o Making spherical and cylindrical panoramas
- o etc
- There are more on-line resources available which are maintained by
- users and supporters of this program. A list with links is
- published at my site.
- Setting Preferences:
- --------------------
- The "Filter"-plug-in interface of Photoshop does not allow the user to
- resize images, which is required by some Panorama Tools. If the resultimage
- is equally sized (eg most transformations in the 'correct' submenu), it
- simply replaces the source image.
- If the resultimage is larger or smaller than the source, you can set options how
- Panorama Tools should handle this situation by clicking the 'pref' button, which
- each tool displays. You can select among the options:
- (a) display cropped/framed version of resultimage. This image replaces your
- source image. Please note that you not only loose image information, but
- also some image characteristics: The horizontal field of view changes! Other
- than that it is the most convenient mode, and default.
- (b) create a temporary file which holds the total resultimage. You can select
- place and name for this file. Panorama Tools adds a unique identifier and
- the extension '.tif' or '.psd' for Photoshop hosts to this name.
- If you only select (b), and deselect (a) and (c), only one outputfile
- in Photoshop format is generated (only on Photoshop hosts). Subsequent
- images are added as additional layers to this file. If these images
- have an alpha channel, which automatically is the case for the adjust-tool,
- the image is blended with the other layers, and a feathered mask is added.
- This allows the user to stitch images into a panoramic view, and later
- edit and adjust each image separately. See the tutorial 'HowToStitch'
- about details.
- (c) Open this file using any suitable program to display the result. On the
- Macintosh this is always the currently running Plug-in host, so to the
- user it looks as if the result were returned by the filter. On the PC
- this works with some plug-in hosts (Photoshop 4 and 5, Picture Publisher 6) but
- not with some others (Paint Shop Pro). In this case you have to select
- another application to display the result (the file format is PSD on Photoshop
- and Color It!, else TIFF). For this option to work, you have to check (b) also!
- GraphicConverter and Gimp can handle size changes, and thus display only option
- (a) and (b), (b) not creating a file, but displaying the full-sized result.
- Finally, combinations of the options are allowed (not in Gimp!), eg displaying
- a cropped image and saving the full sized image simultaneously is possible.
- On the Macintosh, the 'sleep' value can be set using the Resource editor
- 'ResEdit'. It is now set to 0, which results in maximum speed but prohibits
- background operations. To enable background operations, open the library
- file 'pano12.lib' (should be in your Extensions Folder) inside 'ResEdit',
- and find the resource named 'SLEP'. Open it, and change its value from
- "0000 0000" to something in the range "0000 0010" to "0000 0100". The
- larger this value, the more time is granted to background processes.
- Save and close the library file again.
- Previous versions of Panorama Tools used a sleep value of 10, which on some
- machines caused significant slowdown when batch-converting.
- Selecting the Interpolator:
- ---------------------------
- Transforming an image usually requires some interpolations, since the new
- pixel positions generally do not coincide with grid-positions of the screen.
- The effort spent for this interpolation largely determines the quality of
- the final image.
- Panorama Tools uses bicubic or better interpolation. Pressing 'More' in the
- 'Set Preferences' dialog (see above) brings up a dialog allowing the user to
- select the options for the interpolator. The four options differ in quality
- and in speed as indicated by the arrows. Please note that many commercial
- packages use bilinear interpolation, which is far inferior to the
- lowest quality bicubic scheme offered by 'Panorama Tools'. The previous versions
- of 'Panorama Tools' used the 'Polynomial' method, which is also default now.
- Photoshop also offers a 'bicubic' interpolation method for its scaling and
- rotation functions. However, I do not know the details of their algorithm.
- The 'Polynomial'-interpolator has been adjusted to closely match their algorithm.
- The other three are better, but slower, especially the new 'Sinc' function.
- You can read more about interpolators, test images and comparisons with
- other graphics packages at
- <http://www.fh-furtwangen.de/~dersch/interpolator/interpolator.html>.
- Gamma Correction:
- ----------------
- The dialog described above also exhibits a 'Gamma' entry, which is set to 1.0
- by default. You can enter the gamma-value for your display (typical values
- are 2.5). This will cause Panorama Tools to linearize the images prior to
- transformations, and later gamma-correct them again. This means the output
- should look almost the same.
- Theoretically, any calculation on images should be done on linearized data,
- but practically, no graphics program seems to care. Most often, you do not see
- any differences. Errors show up when transforming images having adjacent
- areas of complementary colors. Then you might experience dark stripes at the edges.
- You can avoid this by setting gamma, or by doing the transformation in Lab-
- colourspace.
- Using always gamma correction has its own disadvantages, like (very slight)
- brightness changes.
- A more detailed discussion is available at
- <http://www.fh-furtwangen.de/~dersch/gamma/gamma.html>.
- Correct:
- --------
- Correct consists of several tools:
- - Radial shifts all pixelpositions radially as specified by a third order
- polynomial. The coefficients are entered in the options submenu for each
- individual color. This enables correction of barrel and pincussion distortions
- as well as many chromatic errors. d=1 and c=b=a=0 leaves all positions
- as they are. It may also be used to correct the radial mapping of
- fisheye-lenses, which often don't follow the theoretical angle dependence
- (see below). Once you have determined the optimum coefficients for your
- lens (either by trial and error, or by some fitting process) you can
- save them. The radial distance r_src for each point in the source image
- is computed by the formula:
- r_src = (a * r_dest^3 + b * r_dest^2 + c * r_dest + d) * r_dest
- Units for r_src and r_dest is image width / 2, ie the edge of the image
- corresponds to r_src = 1.
- If you check the option 'vertical', only the vertical axis is affected
- by the shift, and the unit is relative to image height/2. This can be
- used to correct lens distortions in Panoramic cameras. Finally, the option
- 'horizontal' shifts each pixel horizontally by an amount determined by its
- vertical distance from the center line. This can be used to correct
- deregistration errors in scanning cameras, and will be described in a
- separate documentation at my website.
- - Vertical and Horizontal shift pixelpositions linearly by a constant amount
- which can be set for each color. This corrects scanner errors, which
- are often misalignments by a fraction of a point between each color channel
- - Shear does what you expect, as does scale. GraphicConverter has its own scaling
- tool, but this one uses another algorithm. It is somewhat better when enlarging
- images but may exhibit problems when reducing image size by more than
- a factor of 2 (see Changes). All parameters are measured in screenpoints.
- You can preserve aspect ratio upon scaling by setting one of width or
- height to 0.
- - Radial Luminance is a center gradient filter, which compensates light fall off
- at the edges of your image. Specify an amplitude value between -255 and +255.
- Half of that amount will be subtracted from the center pixels of the image,
- whereas the other half will be added to the edge pixels.
- - Cut Frame is an automatic cropping tool. You can select a
- rectangle by setting width and height in the 'options' dialog. The
- tool 'Cut Frame' now searches the whole image for the brightest rectangle
- with these dimensions, and removes the frame around it. Please set the preferences
- options to (b) and (c), since this tool changes the size of the image!
- It automates the tedious task of cropping frames around scanned images,
- especially around circular fisheye images. If you are scanning negatives,
- the frame may be white. To crop this frame, invert the colours of the image,
- then run it through 'Cut Frame', and invert it back. This can be easily
- automated in Photoshop or GraphicConverter's batch menu.
- - Fourier Filter. This filter will be documented separately.
- Perspective:
- ------------
- This tool is essentially a shift lens. It enables you to change viewing
- direction. Specify the desired new direction either by entering horizontal
- and vertical tilt angles (in degrees) or by entering the screen coordinates
- of the new direction. Specify the format of your image (rectilinear or
- fisheye). In most cases you also have to specify the horizontal
- field of view of the source image in degrees (Hfov) to get meaningful
- results. Look into the specs of your lens to determine this value. This
- is not required if you just want to rotate the image. Finally you
- can specify the dimensions of the destination image: Pushing
- 'source' sets height and width to the values of the source image.
- You may also specify it seperately. Notice, that this does not
- change the scaling of the image but rather changes the field of view
- of the destination image.
- Remap:
- ------
- Various mappings are available:
- - normal, i.e. rectilinear. This is what most lenses deliver.
- - QTVR-panorama, which is a cylindrical projection employed by many panoramic
- cameras (most rotating lens designs). The horizontal axis is proportional
- to viewing angle, and the vertical axis is identical to the rectilinear
- format. This format is also required for Apple's QTVR movies, and for
- LivePicture's cylindrical panos.
- - PSphere, ie equirectangular, which is another cylindrical projection often used
- in maps. The vertical axis is angle-proportional. This format is used for
- LivePicture's RealVR movies in 'Sphere' mode.
- - spherical, which is the format of fisheye lenses. Two modes are available:
- Fisheye-vertical is an image shot with the camera held vertically up. The
- panorama is extracted from the circumpherence of the image.
- Fisheye-Horizontal is an image shot with the camera held horizontally. The
- equator is now in the center of the image.
- - convex mirror. This is the reflection of a convex, spherical image. The
- horizontal field of view is calculated using the formula
- HFov = 2*arcsin(radius of mirror/radius of curvature of mirror)
- This format is used to convert images from the BeHere and Cyclovision systems.
- A single step panorama set-up can be easily constructed using a spherical
- mirror and this transformation.
- Not all possible conversions are implemented (yet). See the table below for
- implemented formats. Most transformations can be performed in a single
- step and all in two steps:
- To --> rect QTVR PSphere fish-hor fish-vert mirror
- From
- rect - x x x - -
- QTVR x - x - - -
- PSphere x x - x x -
- fish-hor x x x - x -
- fish-vert - x x x - x
- mirror - x x - x -
- Notice that you have to provide the horizontal field of view (HFOV) of the
- source image (in degrees) for most conversions to get meaningful results. The
- vertical field of view for the destination image (Vfov) is only required for the
- conversion fisheye-vert - to - panorama. It is ignored in all other
- cases. See the following table for HFOV-values of lenses for 35mm equipment.
- Actual lens paramters may vary somewhat:
- ***************************** Field of View Table ****************************
- * *
- * Focal Length HFOV Landscape HFOV Portrait *
- * *
- * 8mm Fisheye 180 180 *
- * 15mm Fisheye 130 90 *
- * *
- * 15mm Rectilinear 100 77 *
- * 17mm Rectilinear 93 70 *
- * 20mm Rectilinear 84 62 *
- * 24mm Rectilinear 74 53 *
- * 28mm Rectilinear 65 46 *
- * 35mm Rectilinear 54 38 *
- * 50mm Rectilinear 40 27 *
- * *
- ******************************************************************************
- Adjust:
- ------
- The user interface of the adjust tool has been redesigned for version 1.7.
- The main functionality of 'adjust' is to
- o Extract arbitary views from any panorama
- In this mode the current image is assumed to be a
- panoramic image, and Panorama Tools creates a view.
- The characteristics of this view can be set by an 'options'-
- dialog or read from a textfile ('script'). Only the
- parameters not obviously available have to be set:
- - image width/height/format/hfov
- - panorama format/hfov
- If the panorama is needed in a later processing step
- (eg if you want to reinsert the view, or merge it
- with another image) you can save it to the internal
- buffer by clicking 'Save to Buffer'.
- o Insert arbitrary images into any panorama
- Again, only not available paramaters have to be specified,
- in this case
- - image format/hfov
- - panorama width/height/format/hfov
- If the buffer is not used, a panoramic image containing
- the view (warped and scaled properly) is generated.
- If you selected 'Load Buffer' Panorama Tools attempts to
- load a previously saved buffer image and merges both
- images into one. You have a couple of stitiching options:
- 'blend' places the seam into the middle of the overlap
- between the two images, while 'paste' pastes the image
- completely into the buffer. A feather can be selected which
- hides the seam. Color correction of the two images
- can be automatically performed: Panorama Tools analyzes
- the overlap of the images, and tries to adjust the
- colour channels to match both images. The found correction
- can be applied to either or both of the images.
- Finally, if you need the panorama in a later processing step
- again (maybe to add some more images) you can save it
- by clicking 'Save to Buffer'.
- It also includes tools to find the optimum position of an image in a
- panorama. See the documentation at <http://www.fh-furtwangen.de/~dersch>
- for details. It contains flags which you have to paste into the image
- to mark feature points, and which are then read by Panorama Tools
- to adjust image position.
- Adjust can be used to create panoramic images from a set of photographs.
- It uses an internal buffer to load images and automatically stitch
- them into a wide angle view.
- The tool can be driven by setting options in a dialog (image and panorama
- characteristics are settable, as well as position and stitching options),
- or read from an external script (text file). This way it is possible
- to merge several images in a single operation.
- More uses of 'Adjust':
- o You can extract the six cubic face images needed for VRML-viewers
- from any QTVR-Cylinder or RealVR-sphere by using the 'extract' option
- set to rectilinear images (HFOV=90degree).
- o The opposite is also possible, ie merging six cubic face images
- into any QTVR-Cylinder or RealVR-sphere (use the 'insert' option).
- Pan Controls:
- =============
- Internally, all 'Pan Controls' are special front ends to the 'adjust' tool.
- Externally they act like the toolbar of a WWW-viewer.
- Setting the Initial Viewport:
- -----------------------------
- To start a session, load the panoramic image to be edited into Photoshop,
- and open 'adjust'. Select 'Extract Image' and 'Options'. Then click
- 'Set' to set the initial viewport. The dialog window that appears
- has entries for the viewport ('Image') and the panorama. The size of the
- viewing window can be arbitarily set (it can be changed later at any time
- during the interactive session). The camera type is also settable (most likely
- 'normal', but fisheye and panoramic (swing-lens) type is also possible.
- The field of view must also be set. The direction of the initial viewport
- is settable via the three angles yaw, pitch and roll. Leave them at 0
- if you want to start in the center.
- Select the 'Panorama' characteristics. Required is 'format' and 'HFOV'
- (most likely QTVR and 360 degrees). Width and size is read from the
- source image and need not be set. Also select 'Save Buffer' since this
- saved image becomes the internally saved representation of the pano.
- Click ok once. Back in the 'Adjust' dialog select 'pref' and set only
- option (2) and (3) (ie 'create new image') This is required since the
- newly created image (the viewport) is likely to be of different size
- than the original (the panorama). Now click ok twice, and let Panorama
- Tools create the partial view. After this appears, you can close the
- original panorama: All further work is done using the newly created
- viewport-window.
- Panning:
- --------
- To turn your viewport, select 'Pan Controls' and click 'Move Right'
- or 'Move left' or 'Tilt Up' or 'Tilt Down'. The viewing direction
- changes each time by an amount of 15 degrees. You can change this
- amount by pressing the 'Increment' button.
- Zooming is accomplished using the respective 'Pan Controls' and
- occurs by an amount of 30%. This is also settable in the
- 'Increment' dialog.
- It may be more conveniant to use the supplied actions instead
- of the filter menu. You can bind function keys to any of the
- commands.
- You can change the size of your viewport at any time through
- Photoshop's resizing commands.
- You can set and monitor the current position of the viewport
- by opening the 'adjust->options' dialog. Don't run
- 'adjust' since this will open a new viewport!
- Editing:
- --------
- Edit your viewport like any other Photoshop image. All tools
- you normally use to work with images are available to you now.
- Please note that Panorama Tools uses the Filter interface of
- Photoshop which only acts upon the current active layer of
- your image, ie you have to collapse the image into one layer
- if you want to apply your changes later.
- Your editing changes are normally not applied to the saved buffer
- and get lost as soon as you pan away or zoom. You have to apply them
- by clicking 'Apply Changes' in the 'Pan Controls' plug-in (Or
- use the respective action). This command warps and inserts the
- current viewport back into the (invisible) buffer, and makes your
- changes permanent.
- Each 'Apply' step causes a lengthy warp-insert operation. Since the
- image gets resampled, it will lead to image degradation if you
- apply changes frequently to the same region of your panorama.
- That is the reason to not 'apply' changes automatically when
- panning.
- To minimize image degradation, the viewport to be inserted should
- have similar resolution as the original panoramic image.
- Getting Your Panoramic Image:
- -----------------------------
- All editing acts upon the saved buffer panoramic image, not on the
- original! To get this buffer, 'Pan Controls' provides the command
- 'Get Panorama' which loads and displays this image to let you save
- it in any format you like.
- Caveats:
- --------
- Panorama Tools uses the Filter-interface of Photoshop and hence has
- only the knowledge provided by this interface. Specifically, Panorama
- Tools does not detect whether you edited and changed the image, and
- warn you if you pan away without applying changes.
- If this happens, and you want to recover the edited image, you
- can use Photoshops 'Undo' to get the image back. Again, Panorama Tools
- does not notice this, and believes your viewport to be at the
- moved position. If you now click 'Apply' the image is inserted in the
- wrong place. To get that right, you have to manually use the
- 'adjust' tool with 'insert' option, and set the angles correctly
- as they were.
- The tools are free to use. Send me emails if you like them. The latest version is
- available from http://www.fh-furtwangen.de/~dersch.
- Helmut Dersch (der@fh-furtwangen.de)
- Credits:
- ========
- - I am using Andrew Regan's (ecuue@csv.warwick.ac.uk) ProgressCDEF package.
- - Motorola's fast mathematical library 'libmoto' (