Invitation to Computer Science 8th Edition

Published by Cengage Learning
ISBN 10: 1337561916
ISBN 13: 978-1-33756-191-4

Chapter 16 - 16.2 - Computer-Generated Imagery (CGI) - Practice Problem - Page 768: 1

Answer

\begin{array}{l}{\text { (Note: In the following answer, the } z \text { column has been omitted because it }} \\ {\text { will contain all zeros.) }}\end{array} \begin{array}{llll} {\text {Vertex }} & {X { \quad } { \quad } } & {y { \quad } { \quad }} & {\text { Connected To }} \\ {\mathrm{v}_{1}} & {0} & {0} & {\mathrm{v}_{2} \mathrm{v}_{6} \mathrm{v}_{8}(\text { Origin })} \\ {\mathrm{v}_{2}} & {0} & {2.4} & {\mathrm{v}_{1} \mathrm{v}_{3} \mathrm{v}_{4}} \\ {\mathrm{v}_{3}} & {1.5} & {4.5} & {\mathrm{v}_{2} \mathrm{v}_{4} \mathrm{v}_{5}} \\ {\mathrm{v}_{4}} & {1.5} & {2.4} & {\mathrm{v}_{2} \mathrm{v}_{3} \mathrm{v}_{4}\mathrm{v}_{5}\mathrm{v}_{6}\mathrm{v}_{7} } \\ {\mathrm{v}_{5}} & {3} & {2.4} & {\mathrm{v}_{3} \mathrm{v}_{4} \mathrm{v}_{10}} \\ {\mathrm{v}_{6}} & {1} & {1.7} & {\mathrm{v}_{1} \mathrm{v}_{4} \mathrm{v}_{7} \mathrm{v}_{8} \mathrm{v}_{9} } \\ {\mathrm{v}_{7}} & {2} & {1.7} & {\mathrm{v}_{4 } \mathrm{v}_{6 } \mathrm{v}_{9} \mathrm{v}_{10} } \\ {\mathrm{v}_{8}} & {1} & {0} & {\mathrm{v}_{1} \mathrm{v}_{6} \mathrm{v}_{9}} \\ {\mathrm{v}_{9}} & {2} & {0} & {\mathrm{v}_{6} \mathrm{v}_{7} \mathrm{v}_{8} \mathrm{v}_{10} } \\ {\mathrm{v}_{10}} & {3} & {0} & {\mathrm{v}_{5} \mathrm{v}_{7} \mathrm{v}_{9}} \\ \end{array} A total of $67$ pieces of information are stored in this table.

Work Step by Step

\begin{array}{l}{\text { (Note: In the following answer, the } z \text { column has been omitted because it }} \\ {\text { will contain all zeros.) }}\end{array} \begin{array}{llll} {\text {Vertex }} & {X { \quad } { \quad } } & {y { \quad } { \quad }} & {\text { Connected To }} \\ {\mathrm{v}_{1}} & {0} & {0} & {\mathrm{v}_{2} \mathrm{v}_{6} \mathrm{v}_{8}(\text { Origin })} \\ {\mathrm{v}_{2}} & {0} & {2.4} & {\mathrm{v}_{1} \mathrm{v}_{3} \mathrm{v}_{4}} \\ {\mathrm{v}_{3}} & {1.5} & {4.5} & {\mathrm{v}_{2} \mathrm{v}_{4} \mathrm{v}_{5}} \\ {\mathrm{v}_{4}} & {1.5} & {2.4} & {\mathrm{v}_{2} \mathrm{v}_{3} \mathrm{v}_{4}\mathrm{v}_{5}\mathrm{v}_{6}\mathrm{v}_{7} } \\ {\mathrm{v}_{5}} & {3} & {2.4} & {\mathrm{v}_{3} \mathrm{v}_{4} \mathrm{v}_{10}} \\ {\mathrm{v}_{6}} & {1} & {1.7} & {\mathrm{v}_{1} \mathrm{v}_{4} \mathrm{v}_{7} \mathrm{v}_{8} \mathrm{v}_{9} } \\ {\mathrm{v}_{7}} & {2} & {1.7} & {\mathrm{v}_{4 } \mathrm{v}_{6 } \mathrm{v}_{9} \mathrm{v}_{10} } \\ {\mathrm{v}_{8}} & {1} & {0} & {\mathrm{v}_{1} \mathrm{v}_{6} \mathrm{v}_{9}} \\ {\mathrm{v}_{9}} & {2} & {0} & {\mathrm{v}_{6} \mathrm{v}_{7} \mathrm{v}_{8} \mathrm{v}_{10} } \\ {\mathrm{v}_{10}} & {3} & {0} & {\mathrm{v}_{5} \mathrm{v}_{7} \mathrm{v}_{9}} \\ \end{array} A total of $67$ pieces of information are stored in this table.
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