Geometric Image Features in Computer Vision

Why are geometric image features important in computer vision?

• Image Registration

• Scene Reconstruction

• Robust Matching and Tracking

• Invariance to Noise and Transformations

• Object Detection and Recognition

What happens to a 3D point when projected onto a 2D image?

• It becomes a 2D point in the image

• It remains a 3D point

• It collapses into a line

• It becomes a shadow

What do L-junctions suggest in line drawings?

• A corner

• Occlusion

• A concave corner

• A convex object

What is the role of occluding contours in image projection?

• They define the visible boundary in the 2D image

• They create shadows

• They enhance color

• They distort the image

What does the curvature of a curve tell us?

• How sharply a curve bends at a point

• The length of the curve

• The color of the curve

• The direction of the curve

What does the Gauss map capture in relation to curves?

• The geometry of a curve by tracking direction changes.

• The curvature of a surface in 3D.

• The normal vector at each point on a curve.

• The tangent vector at a point on a surface.

What is the osculating plane?

• The plane that best fits the curve at a point.

• A flat surface that cuts through the curve.

• The plane containing the normal vector only.

• The plane that represents the tangent vector.

What does curvature measure?

• The rate of change of the tangent direction along a curve.

• The distance traveled along a curve.

• The angle between the tangent and normal vectors.

• The maximum and minimum values of normal curvature.

What is torsion in relation to curves?

• The measure of how much the curve twists out of a flat plane.

• The curvature of a curve at a specific point.

• The direction of the tangent vector.

• The normal curvature at a point.

What is the relationship between the binormal vector and the tangent and normal vectors?

• The binormal vector is defined as the cross product of the tangent and normal vectors.

• The binormal vector is parallel to the tangent vector.

• The binormal vector is perpendicular to the normal vector.

• The binormal vector is the same as the normal vector.