LECTURE 15 INTRODUCTION TO STEREOGRAPHIC PROJECTIONS
LECTURE 15 INTRODUCTION TO STEREOGRAPHIC PROJECTIONS
INTRODUCTION TO STEREOGRAPHIC PROJECTIONS Basic principles ° Basic procedures ● Exercise in class
INTRODUCTION TO STEREOGRAPHIC PROJECTIONS • Basic principles • Basic procedures • Exercise in class
STEREOGRAPHIC PROJECTION The stereographic projection is a graphical method to portray three dimensional geometrical data in two dimensions. In this projection, planes plots as lines (usually curves and lines as points
STEREOGRAPHIC PROJECTION The stereographic projection is a graphical method to portray threedimensional geometrical data in two dimensions. In this projection, planes plots as lines (usually curves ) and lines as points
PROBLEMS CAN BE SOLVED Angular relationship between lines or planes Statistical properties of data that has direction(trend and plunge)
PROBLEMS CAN BE SOLVED • Angular relationship between lines or planes • Statistical properties of data that has direction (trend and plunge)
PROJECTION SPHERE AND PROJECTION PLANE Projection sphere
PROJECTION SPHERE AND PROJECTION PLANE
SPHERICAL PROJECTION The center of the sphere Imagine the plane pass the center of a sphere of radius R the projection sphere
SPHERICAL PROJECTION Imagine the plane pass the center of a sphere of radius R, the projection sphere. The center of the sphere
SPHERICAL PROJECTION Did eu! jo uouoejold DoJoud Prolection sphere W ooo=99 Plane
SPHERICAL PROJECTION
STEREOGRAPHIC PROJECTION projection sphere Stereograph Projection plane projection o Dipping plane Primitive cicle Spher cal projection onc pla E
STEREOGRAPHIC PROJECTION
STEREOGRAPHIC NETS Wulff net---equal-angle net(Figure A) Schmidt net---equal-area net (Figure B) N 330 30° / B 300 N270 D E 240 120 150 B 180 S
STEREOGRAPHIC NETS • Wulff net---equal-angle net (Figure A) • Schmidt net---equal-area net (Figure B)
ELEMENTS OF THE WULFF NET 1. Primitive circle, 2. Central point, 3. Four special points, 4. Longitude great circle, 5. Latitude small circle. Orientation: from 0 to 360, dip: from 0 to 90 primitive circle A Latitude small circle 70 90°E 30°160 240 Longitude great circle 210 A
ELEMENTS OF THE WULFF NET primitive circle Latitude small circle Longitude great circle w 1. Primitive circle, 2. Central point, 3. Four special points, 4. Longitude great circle, 5. Latitude small circle. Orientation: from 0 to 360, dip: from 0 to 90
