Sphere The definition of sphere is a 3D closed surface where every point on the sphere is same distance (radius) from a given point. The equation of a sphere at the origin is x² + y² + z² = r². Since we cannot draw all the points on a sphere, we only sample a limited amount of points by dividing the sphere by sectors (longitude) and stacks (latitude). Then connect these sampled points together to form surfaces of the sphere. Stacks Sectors r-coso-cose X Ꮓ (x, y, z) г 0 r-coso r-coso-sine r-sino Sectors and stacks of a sphere A point on a sphere using sector and stack angles An arbitrary point (x, y, z) on a sphere can be computed by parametric equations with the corresponding sector angle and stack angle . x = (r⋅ cos ) cos 0 = Y (r cos) sin z = r. sin The range of sector angles is from 0 to 360 degrees, and the stack angles are from 90 (top) to -90 degrees (bottom). The sector and stack angle for each step can be calculated by the following; Ꮎ = 2πT || = π 2 - sectorStep sectorCount stackStep stackCount

Sphere The definition of sphere is a 3D closed surface where every point on the sphere is same distance (radius) from a given point. The equation of a sphere at the origin is x² + y² + z² = r². Since we cannot draw all the points on a sphere, we only sample a limited amount of points by dividing the sphere by sectors (longitude) and stacks (latitude). Then connect these sampled points together to form surfaces of the sphere. Stacks Sectors r-coso-cose X Ꮓ (x, y, z) г 0 r-coso r-coso-sine r-sino Sectors and stacks of a sphere A point on a sphere using sector and stack angles An arbitrary point (x, y, z) on a sphere can be computed by parametric equations with the corresponding sector angle and stack angle . x = (r⋅ cos ) cos 0 = Y (r cos) sin z = r. sin The range of sector angles is from 0 to 360 degrees, and the stack angles are from 90 (top) to -90 degrees (bottom). The sector and stack angle for each step can be calculated by the following; Ꮎ = 2πT || = π 2 - sectorStep sectorCount stackStep stackCount

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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