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Opengl preserves a similar matrix to describe the

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Unformatted text preview: tand (The why in the future) why Note OpenGL preserves a similar matrix to describe the Note camera type and this is called the PROJECTION_MATRIX PROJECTION_MATRIX Introduction to OpenGL What’s hard about this assignment? • Managing the MODELVIEW stack • We’ll use: – glLoadIdentity(); – glTranslatef(GLfloat x, y, z); – glRotatef(GLfloat degrees, x, y, z); – glScalef (GLfloat x, y, z); – glPushMatrix(), glPopMatrix(); Modeling Transformations glTranslate (x, y, z) • Post-multiplies the current matrix by a matrix that moves Post-multiplies the object by the given x-, y-, and z-values the glRotate (theta, x, y, z) • Post-multiplies the current matrix by a matrix that rotates Post-multiplies the object in a counterclockwise direction about the ray from the origin through the point (x, y, z) from Modeling Transformations glScale (x, y, z) • Post-multiplies the current matrix by a matrix that stretches, Post-multiplies shrinks, or reflects an object along the axes shrinks, Modeling Transformations It is important that you understand the order in which It OpenGL concatenates matrices OpenGL glMatrixMode (MODELVIEW); glLoadIdentity(); glMultMatrix(N); glMultMatrix(M); glMultMatrix(L); glBegin(POINTS); glVertex3f(v); glEnd(); Modelview matrix successively contains: I(dentity), N, NM, NML The transformed vertex is: NMLv = N(M(Lv)) Manipulating Matrix Stacks Observation: Certain model transformations are shared Observation: among many models among We want to avoid continuously reloading the same We sequence of transformations sequence glPushMatrix ( ) • push all matrices in current stack down one level and copy topmost push matrix of stack matrix glPopMatrix ( ) • pop the top matrix off the stack Matrix Manipulation - Example Drawing a car with wheels and lugnuts draw_wheel( ); for (j=0; j<5; j++) { glPushMatrix (); glRotatef(72.0*j, 0.0, 0.0, 1.0); glTranslatef (3.0, 0.0, 0.0); draw_bolt ( ); glPopMatrix ( ); } Matrix Manipulation – Example Matrix Grand, fixed coordinate...
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