By David H. Eberly, Philip Schneider
Amazon: http://www.amazon.com/Geometric-Computer-Graphics-Morgan-Kaufmann/dp/1558605940
Do you spend an excessive amount of time growing the construction blocks of your pics purposes or discovering and correcting blunders? Geometric instruments for desktop Graphics is an intensive, comfortably geared up choice of confirmed recommendations to basic difficulties that you'd quite now not remedy time and again, together with development primitives, distance calculation, approximation, containment, decomposition, intersection selection, separation, and more.
If you have got a arithmetic measure, this ebook will prevent time and bother. in case you don't, it's going to assist you in achieving belongings you may perhaps suppose are from your achieve. within, each one challenge is obviously said and diagrammed, and the absolutely special ideas are offered in easy-to-understand pseudocode. you furthermore mght get the math and geometry heritage had to make optimum use of the recommendations, in addition to an abundance of reference fabric contained in a sequence of appendices.
Features
• choked with powerful, completely demonstrated suggestions that might prevent time and assist you stay away from expensive errors.
• Covers difficulties proper for either 2nd and 3D images programming.
• offers each one challenge and answer in stand-alone shape permitting you the choice of interpreting simply these entries that topic to you.
• presents the maths and geometry history you must comprehend the suggestions and placed them to work.
• in actual fact diagrams every one challenge and provides options in easy-to-understand pseudocode.
• assets linked to the e-book can be found on the spouse site www.mkp.com/gtcg.
Filled with strong, completely demonstrated suggestions that might prevent time and assist you steer clear of high priced error.
Covers difficulties correct for either 2nd and 3D photos programming.
Presents each one challenge and resolution in stand-alone shape permitting you the choice of examining in simple terms these entries that topic to you.
Provides the mathematics and geometry history you want to comprehend the recommendations and placed them to paintings.
Clearly diagrams every one challenge and offers ideas in easy-to-understand pseudocode.
Resources linked to the ebook can be found on the better half site www.mkp.com/gtcg.
Read or Download Geometric Tools for Computer Graphics (The Morgan Kaufmann Series in Computer Graphics) PDF
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Additional info for Geometric Tools for Computer Graphics (The Morgan Kaufmann Series in Computer Graphics)
Example text
Comparison of memory usage. Comparison of operation counts for converting between representations of rotations. Comparison of operation counts for transforming one vector. Comparison of operation counts for transforming n vectors. Comparison of operation counts for composition. Operation counts for quaternion interpolation. Operation counts for rotation matrix interpolation. Signs of the Sturm polynomials for t 3 + 3t 2 − 1 at various t values. Signs of the Sturm polynomials for (t − 1)3 at various t values.
The number of distinct solutions varies depending on the relative positions of the line and circle, and the circle’s radius. No solutions if given radius is too small. Insight for finding circle of given radius. Schematic for the solution. Circles tangent to two circles with a given radius. In general there are two solutions, but the number of distinct solutions varies with the relative sizes and positions of the given circles. Construction for a circle tangent to two circles. Line normal to a given line and through a given point.
The usual properties of arithmetic for real-valued numbers do not always hold for floatingpoint numbers. For example, if s = 0, then r + s = r. However, it is possible that f (r) ⊕ f (s) = f (r), in particular when f (r) is much larger in magnitude than f (s). Real-valued addition is associative and commutative. It does not matter in which order you add the numbers. The order for floating-point addition does matter. Suppose that you have numbers r, s, and t to be added. It is the case that (r + s) + t = r + (s + t).