glMap2: Unterschied zwischen den Versionen
Flo (Diskussion | Beiträge) K (→Beschreibung: Formatierung; kleinen Fehler ausgebessert) |
Flo (Diskussion | Beiträge) K (→Beschreibung: Formatierung) |
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p(^,^) = i=0j=0Bi(^)Bj(^)Rij | p(^,^) = i=0j=0Bi(^)Bj(^)Rij | ||
wobei '''R''' ein Kontrollpunkt ist, | wobei '''R''' ein Kontrollpunkt ist, | ||
− | '''Bn(^)''' ein das '''i'''te Bernsteinpolynom vom Grad '''n''' (''uorder | + | '''Bn(^)''' ein das '''i'''te Bernsteinpolynom vom Grad '''n''' (''uorder''= '''n'''+1) |
Version vom 23. Juni 2005, 13:31 Uhr
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Inhaltsverzeichnis
glMap2
Name
glMap2 - definiert einen 2 demensionalen Bezieher
Delphi-Spezifikation
procedure glMap2d(target: TGLenum; u1: TGLdouble; u2: TGLdouble; ustride: TGLint; uorder: TGLint; v1: TGLdouble; v2: TGLdouble; vstride: TGLint; vorder: TGLint; const points: PGLdouble); procedure glMap2f(target: TGLenum; u1: TGLfloat; u2: TGLfloat; ustride: TGLint; uorder: TGLint; v1: TGLfloat; v2: TGLfloat; vstride: TGLint; vorder: TGLint; const points: PGLfloat);
Parameter
target | Bestimmt den Typ der Werte die generiert werden sollen. Folgende symbolsiche Konstanden werden akzeptiert: GL_MAP2_VERTEX_3, GL_MAP2_VERTEX_4, GL_MAP2_INDEX, GL_MAP2_COLOR_4, GL_MAP2_NORMAL, GL_MAP2_TEXTURE_COORD_1, GL_MAP2_TEXTURE_COORD_2, GL_MAP2_TEXTURE_COORD_3, und GL_MAP2_TEXTURE_COORD_4 |
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u1, u2 | Specify a linear mapping of u, as presented to glEvalCoord2, to ^, one of the two variables that are evaluated by the equations specified by this command. Initially, u1 is 0 and u2 is 1. |
ustride | Specifies the number of floats or doubles between the beginning of control point R and the beginning of control point R ij, where i and j are the u and v control pointiindices, respectively. This allows control points to be embedded in arbitrary data structures. The only constraint is that the values for a particular control point must occupy contiguous memory locations. The initial value of ustride is 0. |
uorder | Specifies the dimension of the control point array in the u axis. Must be positive. The initial value is 1. |
v1, v2 | Specify a linear mapping of v, as presented to glEvalCoord2, to ^, one of the two variables that are evaluated by the equations specified by this command. Initially, v1 is 0 and v2 is 1. |
vstride | Specifies the number of floats or doubles between the beginning of control point R and the beginning of control point R ij, where i and j are the u and v control point(indices, respectively. This allows control points to be embedded in arbitrary data structures. The only constraint is that the values for a particular control point must occupy contiguous memory locations. The initial value of vstride is 0. |
vorder | Specifies the dimension of the control point array in the v axis. Must be positive. The initial value is 1. |
points | Ein Zeiger auf den Kontrollpunkt Array. |
Beschreibung
Bezieher unterstützen einen Weg um mit ganzrationalen Funktionen Vertexe, Normalen, Textur-Koordinaten und Farben zu erzeugen. Die von den Evelatoren stammenden Werte, werden zu weitern OpenGL Verarbeitungs stufen gesendet, als ob sie von glVertex, glNormal, glTexCoord und glColor Befehlen kommen würden. Der einzigste Unterschied besteht darin das die aktuelle Normale, Texturkoordinate oder Farbe nicht verändert wird.
Spline(Teilbereiche von Polynomen) von beliebigen Grades(bis zu dem maximalen Grad den die OpenGL Inmplementation unterstützt) können mit Evaluatoren beschrieben werden. Dies beinhalet fast sämtliche Oberflächen die von Computer Grafiken verwendet werden, inklusive B-spline Oberflächen, NURBS Oberflächen, Bezieher Oberflächen und so weiter.
Von Evaluatoren definierte Oberflächen basieren auf bivariaten Bernsteinpolynom.
Definiere p(^,^) als
n m R R n m p(^,^) = i=0j=0Bi(^)Bj(^)Rij
wobei R ein Kontrollpunkt ist, Bn(^) ein das ite Bernsteinpolynom vom Grad n (uorder= n+1)
n (n ) i n-i
Bi(^) = | |^ (1-^)
(i )
and Bm(^) is the jth Bernstein polynomial of degree m
(vorder = m+1)
m (m ) j m-j Bj(^) = | |^ (1-^) (j ) Recall that 0 (n ) 0 = 1 and | | = 1 ( 0 ) glMap2 is used to define the basis and to specify what kind of values are produced. Once defined, a map can be enabled and disabled by calling glEnable and glDisable with the map name, one of the nine predefined values for target, described below. When glEvalCoord2 presents values u and v, the bivariate Bernstein polynomials are evaluated using ^ and ^, where
^ = _______ u2 - u1 ^ = _______ v2 - v1 target is a symbolic constant that indicates what kind of control points are provided in points, and what output is generated when the map is evaluated. It can assume one of nine predefined values:
GL_MAP2_VERTEX_3 Each control point is three floating-point values representing x, y, and z. Internal glVertex3 commands are generated when the map is evaluated.
GL_MAP2_VERTEX_4 Each control point is four floating-point values representing x, y, z, and w. Internal glVertex4 commands are generated when the map is evaluated.
GL_MAP2_INDEX Each control point is a single floating-point value representing a color index. Internal glIndex commands are generated when the map is evaluated but the current index is not updated with the value of these glIndex commands.
GL_MAP2_COLOR_4 Each control point is four floating-point values representing red, green, blue, and alpha. Internal glColor4 commands are generated when the map is evaluated but the current color is not updated with the value of these glColor4 commands.
GL_MAP2_NORMAL Each control point is three floating-point values representing the x, y, and z components of a normal vector. Internal glNormal commands are generated when the map is evaluated but the current normal is not updated with the value of these glNormal commands.
GL_MAP2_TEXTURE_COORD_1 Each control point is a single floating-point value representing the s texture coordinate. Internal glTexCoord1 commands are generated when the map is evaluated but the current texture coordinates are not updated with the value of these glTexCoord commands.
GL_MAP2_TEXTURE_COORD_2 Each control point is two floating-point values representing the s and t texture coordinates. Internal glTexCoord2 commands are generated when the map is evaluated but the current texture coordinates are not updated with the value of these glTexCoord commands.
GL_MAP2_TEXTURE_COORD_3 Each control point is three floating-point values representing the s, t, and r texture coordinates. Internal glTexCoord3 commands are generated when the map is evaluated but the current texture coordinates are not updated with the value of these glTexCoord commands.
GL_MAP2_TEXTURE_COORD_4 Each control point is four floating-point values representing the s, t, r, and q texture coordinates. Internal glTexCoord4 commands are generated when the map is evaluated but the current texture coordinates are not updated with the value of these glTexCoord commands.
ustride, uorder, vstride, vorder, and points define the array addressing for accessing the control points. points is the location of the first control point, which occupies one, two, three, or four contiguous memory locations, depending on which map is being defined. There are uorderxvorder control points in the array. ustride specifies how many float or double locations are skipped to advance the internal memory pointer from control point R to control point R . vstride specifies how many float or double locationsiarejskipped to advance the internal memory pointer from control point R to control point R . ij i(j+1)
Hinweise
As is the case with all GL commands that accept pointers to data, it is as if the contents of points were copied by glMap2 before glMap2 returns. Changes to the contents of points have no effect after glMap2 is called.
Initially, GL_AUTO_NORMAL is enabled. If GL_AUTO_NORMAL is enabled, normal vectors are generated when either GL_MAP2_VERTEX_3 or GL_MAP2_VERTEX_4 is used to generate vertices.
Fehlermeldungen
GL_INVALID_ENUM wird generiert wenn target nicht akzeptiert wird
GL_INVALID_VALUE wird geniert wenn u1 = u2 ist oder wenn v1 = v2 ist.
GL_INVALID_VALUE wird geniert wenn ustride oder vstride kleiner ist als die anzahl der Kontrollpunkte
GL_INVALID_VALUE wird geniert wenn ustride oder vstride kleiner als 1 oder größer als GL_MAX_EVAL_ORDER ist.
GL_INVALID_OPERATION wird generiert wenn glMap2 innerhalb eines glBegin-glEnd Blocks aufgerufen wird.
Zugehörige Wertrückgaben
- glGetMap
- glGet mit Token GL_MEIN_TOKEN
- glGet mit Token GL_MAP2_VERTEX_3
- glGet mit Token GL_MAP2_VERTEX_4
- glGet mit Token GL_MAP2_INDEX
- glGet mit Token GL_MAP2_COLOR_4
- glGet mit Token GL_MAP2_NORMAL
- glGet mit Token GL_MAP2_TEXTURE_COORD_1
- glGet mit Token GL_MAP2_TEXTURE_COORD_2
- glGet mit Token GL_MAP2_TEXTURE_COORD_3
- glGet mit Token GL_MAP2_TEXTURE_COORD_4
Siehe auch
glBegin, glColor, glEnable, glEvalCoord, glEvalMesh, glEvalPoint, glMap1, glMapGrid, glNormal, glTexCoord, glVertex