Perspective projection | Geometry in computer vision
A vanishing point is a point on the image plane of a perspective drawing where the two-dimensional perspective projections of mutually parallel lines in three-dimensional space appear to converge. When the set of parallel lines is perpendicular to a picture plane, the construction is known as one-point perspective, and their vanishing point corresponds to the oculus, or "eye point", from which the image should be viewed for correct perspective geometry. Traditional linear drawings use objects with one to three sets of parallels, defining one to three vanishing points. Italian humanist polymath and architect Leon Battista Alberti first introduced the concept in his treatise on perspective in art, De pictura, written in 1435. (Wikipedia).
Multipoints Perspective
From playlist Andre Pijet: Drawing in Perspective | CosmoLearning.org Art
Null points and null lines | Universal Hyperbolic Geometry 12 | NJ Wildberger
Null points and null lines are central in universal hyperbolic geometry. By definition a null point is just a point which lies on its dual line, and dually a null line is just a line which passes through its dual point. We extend the rational parametrization of the unit circle to the proj
From playlist Universal Hyperbolic Geometry
From playlist l. Differential Calculus
Perspective 1 Vanishing Point Practice 1 AN
Drawing one vanishing point perspective
From playlist Andre Pijet: Drawing in Perspective | CosmoLearning.org Art
C72 What to do about the singular point
Now that we can calculate a solution at analytical points, what can we do about singular points. It turns out, not all singular points are created equal. The regular and irregular singular point.
From playlist Differential Equations
👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
KS5 - Stationary & Turning Points
"Maxima and minima and stationary points."
From playlist Differentiation (AS/Beginner)
Perspective 1 Vanishing Point Practice 2 AN
Practice one vanishing point perspective
From playlist Andre Pijet: Drawing in Perspective | CosmoLearning.org Art
What is the midpoint formula and how do you find the midpoint between
👉 Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv
From playlist Points Lines and Planes
FORMAL LINEAR PERSPECTIVE: SECTION FIVE The Three Point Set Up EX#42
Marc demonstrates the 3-Point Set Up in Bird's Eye View and Worm's Eye View. Commit this to memory. New Terms: VST; VVP SUGGESTED FOLLOW UP EXERCISES: Practice this set up many many times so that you can commit it to memory. The more the better!
From playlist FORMAL LINEAR PERSPECTIVE
SIMPLE FORM PERSPECTIVE: Illustration #6 PART ONE Three Point Simple Form
Marc demonstrates the basics of three point perspective (bird's eye view), finding your eye level off of the Horizon Line (@ 50 degrees steep), and the procedure.
From playlist SIMPLE FORM PERSPECTIVE
SIMPLE FORM PERSPECTIVE: Illustration #8 Three point Simple Form worms eye view PART ONE
Marc demonstrates 3-Point Perspective in worms eye view (looking upward at about 60 degrees).
From playlist SIMPLE FORM PERSPECTIVE
FORMAL LINEAR PERSPECTIVE: SECTION ONE Exercises #8 & #9
Exercise #8: Using Perspective Rule #3, #4 for diagonal VP for spatial measurement of equal and unequal spaces. Exercise #9: Changing VP's for convenience.
From playlist FORMAL LINEAR PERSPECTIVE
FORMAL LINEAR PERSPECTIVE: SECTION TWO-STAIRS: Ex.#20-23
More stairs. (one small editing glitch-you'll see, but otherwise solid video)
From playlist FORMAL LINEAR PERSPECTIVE
FORMAL LINEAR PERSPECTIVE: SECTION FIVE-45 Degree Measuring PT's in 3PT Perspective EX #44
Marc demonstrates creating Three 45 degree MP's (one for each plane, or VP), to create perfect cubes in 3PT perspective. This sets up the ability to create scale AND measuring without much hard work. But you'll need to learn the set up to be able to make it work-hang in there! SUGGESTED FO
From playlist FORMAL LINEAR PERSPECTIVE
Perspective 2 Vanishing Points
Perspective 2 Vanishing Points
From playlist Andre Pijet: Drawing in Perspective | CosmoLearning.org Art
FORMAL LINEAR PERSPECTIVE: SECTION FIVE EX#47 Three Point Interior Room
3-PT Interior Room Bird's Eye View at 27 degrees downward head tilt with Five 45 degree MP's and 8 Boxes. SUGGESTED FOLLOW UP EXERCISE: Try making another drawing with a head tilt downward of 45 degrees or more. Grid out each plane, and place several boxes in the room. Afterwards, set this
From playlist FORMAL LINEAR PERSPECTIVE
Perspective 3 Vanishing Point
From playlist Andre Pijet: Drawing in Perspective | CosmoLearning.org Art
FORMAL LINEAR PERSPECTIVE: SECTION FIVE EX#48 3pt Interior
Marc demonstrates a 3pt worm's eye view of an interior at 33 degrees looking upward with a crude figure. SUGGESTED FOLLOW UP EXERCISE; Try making another interior at a different degree of head tilt-looking up or below. Determine a head tilt degree and go from there. Try putting in more fur
From playlist FORMAL LINEAR PERSPECTIVE