3D TRANSLATION

3D TRANSLATION

In a three-dimensional homogeneous coordinate representation, a degree is translated from position P = (x, y, z) to position P' = (x', y', z') with the mathematical operation

Parameters tx, ty, and tz, specifying translation distances for the coordinate directions x, y, and z, are assigned any real values.

x'=x + tx, y'=y + ty, z'=z + tz

An object is translated in three dimensions by transforming each of the defining points of the article. For an object represented as a collection of polygon surfaces, we translate each vertex of every surface and redraw the polygon facets within the new position. We obtain the inverse of the interpretation matrix in Equation by negating the interpretation distances tx, ty, and tz. This produces a translation within the other way, and also the product of a translation matrix and its inverse produces the scalar matrix.

Comments

3D TRANSLATION

In a three-dimensional homogeneous coordinate representation, a degree is translated from position P = (x, y, z) to position P' = (x', y', z') with the mathematical operation

Parameters tx, ty, and tz, specifying translation distances for the coordinate directions x, y, and z, are assigned any real values.

x'=x + tx, y'=y + ty, z'=z + tz

An object is translated in three dimensions by transforming each of the defining points of the article. For an object represented as a collection of polygon surfaces, we translate each vertex of every surface and redraw the polygon facets within the new position. We obtain the inverse of the interpretation matrix in Equation by negating the interpretation distances tx, ty, and tz. This produces a translation within the other way, and also the product of a translation matrix and its inverse produces the scalar matrix.

Comments

3D TRANSLATION

In a three-dimensional homogeneous coordinate representation, a degree is translated from position P = (x, y, z) to position P' = (x', y', z') with the mathematical operation

Parameters tx, ty, and tz, specifying translation distances for the coordinate directions x, y, and z, are assigned any real values.

x'=x + tx, y'=y + ty, z'=z + tz

An object is translated in three dimensions by transforming each of the defining points of the article. For an object represented as a collection of polygon surfaces, we translate each vertex of every surface and redraw the polygon facets within the new position. We obtain the inverse of the interpretation matrix in Equation by negating the interpretation distances tx, ty, and tz. This produces a translation within the other way, and also the product of a translation matrix and its inverse produces the scalar matrix.

Comments

3D TRANSLATION

In a three-dimensional homogeneous coordinate representation, a degree is translated from position P = (x, y, z) to position P' = (x', y', z') with the mathematical operation

Parameters tx, ty, and tz, specifying translation distances for the coordinate directions x, y, and z, are assigned any real values.

x'=x + tx, y'=y + ty, z'=z + tz

An object is translated in three dimensions by transforming each of the defining points of the article. For an object represented as a collection of polygon surfaces, we translate each vertex of every surface and redraw the polygon facets within the new position. We obtain the inverse of the interpretation matrix in Equation by negating the interpretation distances tx, ty, and tz. This produces a translation within the other way, and also the product of a translation matrix and its inverse produces the scalar matrix.

Comments

3D TRANSLATION

In a three-dimensional homogeneous coordinate representation, a degree is translated from position P = (x, y, z) to position P' = (x', y', z') with the mathematical operation

Parameters tx, ty, and tz, specifying translation distances for the coordinate directions x, y, and z, are assigned any real values.

x'=x + tx, y'=y + ty, z'=z + tz

An object is translated in three dimensions by transforming each of the defining points of the article. For an object represented as a collection of polygon surfaces, we translate each vertex of every surface and redraw the polygon facets within the new position. We obtain the inverse of the interpretation matrix in Equation by negating the interpretation distances tx, ty, and tz. This produces a translation within the other way, and also the product of a translation matrix and its inverse produces the scalar matrix.

Comments