Computer Aided Engineering Design
COMPUTATIONS FOR GEOMETRIC DESIGN 283 C (x 3 ,y 3 ,z 3 ) such that the normal to the plane is given by n= AB×BC. The volume of t ...
284 COMPUTER AIDED ENGINEERING DESIGN Also, the normal n to the lamina is given by AB×BC=i + j + k. This implies that D is posit ...
COMPUTATIONS FOR GEOMETRIC DESIGN 285 Similarly, ΔB′C′D′ and ΔC′A′D′ are positive implying D′ is to the left of both B′C′ and C′ ...
286 COMPUTER AIDED ENGINEERING DESIGN (b) Find the point of intersection (if any) for each face (plane) extended indefinitely wi ...
COMPUTATIONS FOR GEOMETRIC DESIGN 287 or on the boundary. This is a one-time computation and once the cells have been classified ...
288 COMPUTER AIDED ENGINEERING DESIGN nodes at level 1 represent them. The shades represent whether a square is completely insid ...
COMPUTATIONS FOR GEOMETRIC DESIGN 289 intersection between the square and the boundary (use line intersection recursively for al ...
290 COMPUTER AIDED ENGINEERING DESIGN 9.7 Boolean Operations on Polygons Boolean operations are set theoretical operations perfo ...
COMPUTATIONS FOR GEOMETRIC DESIGN 291 (a) Intersect all edges in A with that of B and vice versa and split them into segments if ...
292 COMPUTER AIDED ENGINEERING DESIGN (i) A∪B: collect all edges from list 1 and 2 that are marked out. If there are edges marke ...
COMPUTATIONS FOR GEOMETRIC DESIGN 293 The above expression is in the implicit form in both s and t. For some values of s and t, ...
294 COMPUTER AIDED ENGINEERING DESIGN Givenn points in a plane, devise an algorithm to construct a non self intersecting polygo ...
Chapter 10 Geometric Modeling Using Point Clouds Chapter 7 discussed the modeling of surfaces with regard to designing solid sha ...
296 COMPUTER AIDED ENGINEERING DESIGN Kinematics can be extracted using the skeletal data while cosmetic design can be accomplis ...
GEOMETRIC MODELING USING POINT CLOUDS 297 Optical scanners are non-contact devices that use light to interact with the object. T ...
298 COMPUTER AIDED ENGINEERING DESIGN generation of a set of locally planar surfaces (having tangent plane discontinuity at the ...
GEOMETRIC MODELING USING POINT CLOUDS 299 10.5 Planar Contour Models MRI and CT both yield object boundary information as data p ...
300 COMPUTER AIDED ENGINEERING DESIGN after threshold operation for a pixel i is given as Ii = 1 if Ii≤Ith else Ii = 0. Figure 1 ...
GEOMETRIC MODELING USING POINT CLOUDS 301 a parameter value on one contour corresponds to the same parameter value on all the ot ...
302 COMPUTER AIDED ENGINEERING DESIGN Figure 10.8 (a) A bad linear parameter correspondence leading to twisting and (b) paramete ...
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