| An NDoc Documented Class Library |
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Minais.Drawing3d.Math Namespace
Namespace hierarchy
Classes
| Class |
Description |
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CrossItem
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CrossList
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Loxy
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Loxyz is a List of xyzArrays. This is sometimes needed in a geometrie, when a polygon contains holes |
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Loxyz
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Loxyz is a List of xyzArrays. This is sometimes needed in a geometrie, when a polygon contains holes |
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MathException
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All exceptions in the namespace Math are of type MathExceptions |
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Matrix
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Matrix is the fundamental class for all transformations. The dimensions of a Matrix you can set in the constructor. So am Matrix has a property Rows and a Property Cols whith indicats the dimensions for rows and columns. In most cases w'll deal with 4 x 4 matrices, because there are needed to represent transformations in a threedimenional room. |
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MultiTriangleList
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This list manages MultiIndexedTriangles |
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Plane
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A essential geometrical object is a Plane. We represent a plane allways by a point and a normalvector, who is normalized. |
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TriangleList
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This list manages IndexedTriangles
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Utils
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This is a collection of useful mathematical functions and constants. All methods are static |
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xyArray
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The class xyArray is our basecontainer for points of type xy. It has some pretty properties and Methods. So the Count is setable. With the Value method you get for any positive param < Count a point, which layes on the polygon. Also a triangulation is implemented, who returns a
The Method returns in case, that the xyArray is clockwise orientates a positive value else the value is negative. The Length of cross is twice the area of the xyArray. |
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xyiArray
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This class is a container, which holds Point . A fine method is Inside, where you can check whether a point is inside a polygon or not. The property Count is read- and writeable. That makes the handling better. With Maxrect you get a rectangle envelopping the polygon. |
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xyzArray
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The class xyzArray is our basecontainer for points of type xyz. It has some pretty properties and Methods. So the count is setable. With the Value method you get for any positive param < Count a point, which layes on the polygon. Also a triangulation is implemented, who returns a
The Method returns in case, that the xyzArray is plane, a normalvector. His length is 2*area of the closed polygon. |
Interfaces
Structures
| Structure |
Description |
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Base
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Base is a class whitch represents a base in the mathematical sense. So it contains a baseorigin and three axes for x, y and z. Stored are these values in the fields BaseO, BaseX, BaseY and BaseZ, each of them is from type xyz. In general a base musn't be normalized, but some methods require this property ( Relativ,Absolut). Bases and matrices, who has (0, 0, 0, 1) in the fourth row are nearly the same thing. If you consider the columns of such a matrix then the columns represent a base when we omit the fourth coordinate. On the other side defines a base a transformationsmatrix, if baseX, baseY, baseZ, baseO are taken as columns of a matrix ( and adding (0, 0, 0, 1) in the fourth row ). ToMatrix
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Box
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The object Box encapsulates the essentials properties and datas, what are needed in work with it. So it holds an Origin and a Size. |
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IndexedTriangle
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Is used, if a triangle is descripted by indices related to a list of coordinates. IndexedTriangle is the default recordtype for the TriangleList
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LineType
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This structure belongs to the geometrical object 3d-line. It contains two Points P and Q and of course a direction, which is given by Q - P. Additional it contains a Valuefunction with returns for every parameter lam a point on the line. In case lam = 0 the Value is P and in case lam = 1 the Value is Q. Sometimes the LineType is regarded as infinite line, somtimes as bounded line, bounded by P and Q. To avoid confusions with the Curveclass 'Line' the name LineType is taken. |
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LineType2d
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This structure belongs to the geometrical object 2d-line. It contains two Points P and Q and of course a direction, which is given by Q - P. Additional it contains a Valuefunction with returns for every parameter lam a point on the line. In case lam = 0 the Value is P and in case lam = 1 the Value is Q. Sometimes the LineType2d is regarded as infinite line, somtimes as bounded line, bounded by P and Q. To avoid confusions with the Curveclass Line the name LineType2d is taken. |
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MultiIndexedTriangle
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Is used, if a triangle is descripted by indices related to more then one list of coordinates. In that case ListA, ListB, ListC are references to the related coordinatelist. MultiIndexedTriangle is the default recordtype for the MultiTriangleList
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Triangle
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This class represents a container for three points A, B, C |
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xy
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xy is a foundation type for points in the 2D-Geometry I find the name is nice, short and handly. He has two fields x and y, who represent the x-Coordinate and the y-coordinate of the point. |
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xyz
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xyz is a foundation type for points in the 3D-world I find the name is nice, short and handly. He has tree fields x, y and z, who represent the x-Coordinate, the y-coordinate and the z-coordinate respectively |
Enumerations