13.1 Si23_03 SI23 Introduction to Computer Graphics Lecture 13 – Simple Reflection Model.

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SI23Introduction to Computer

Graphics

SI23Introduction to Computer

Graphics

Lecture 13 – Simple Reflection Model

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What is a Reflection Model?

What is a Reflection Model?

A reflection modelreflection model (also called lightinglighting or illuminationillumination model) describes the interaction between light and a surface, in terms of:– surface properties– nature of incident light

Computer graphics uses a simplification of accurate physical models– objective is to mimic reality to an

acceptable degree

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Phong Reflection ModelPhong Reflection Model

The most common reflection model in computer graphics is due to Phong Bui-tuong - in 1975

Has proved an acceptable compromise between simplicity and accuracy

Largely empirical It is a local reflection model – does

not handle global effects of light reflecting between surfaces

– Ray tracing and radiosity methods will handle this

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Diffuse Reflection and Specular Reflection -

Phong Approach

Diffuse Reflection and Specular Reflection -

Phong Approach

microscopic view

whitelight

specular reflection (white)

diffuse reflection(yellow)

yellowpigment particles

Some light reflecteddirectly from surface.

Other light passes intomaterial. Particles ofpigment absorb certainwavelengths fromthe incident light, butalso scatter the lightthrough multiple reflections - somelight emerges backthrough surface as diffuse reflection.

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Ambient ReflectionAmbient Reflection

In addition to diffuse and specular reflection, a scene will also include ambientambient reflection

This is caused by light falling on an object after reflection off other surfaces– eg in a room with a light above a

table, the floor below the table will not be totally black, despite having no direct illumination - this is reflection of ambient light

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Reflection Model - Ambient Light

Reflection Model - Ambient Light

surface

I ( )= Ka ( )Ia()Ia = Intensity of ambient lightKa = Ambient-reflection coefficientI = Reflected intensity= wavelength of light

hemisphereof ambientlight

P

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Ambient LightingAmbient Lighting

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Reflection Model - Diffuse Reflection


Light reflected equally in all directions - intensity dependent on angle between light source and surface normal

Lambert’s cosine law: I = I* cos where I* is intensity of light source

P

lightsource

P

lightsource

lightsourceN

L

surface

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I = Kd ( cos ) I*

I* = Intensity of light sourceN = Surface normalL = Direction of light sourceKd = Diffuse-reflection

coefficientI = Reflected intensity

lightsourceN

L

surface

Light reflected equallyin all directions, withintensity depending onangle between light andsurface normal:

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The angle between two vectors is given by their dot product: cos = L . N (assume L, N are unit length)

The coefficient Kd depends on the wavelength of the incoming light

lightsourceN

L

surface

I ( ) = Kd() ( L . N ) I*()

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Ambient and DiffuseAmbient and Diffuse

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Reflection Model - Specular ReflectionReflection Model -

Specular Reflection

In perfect specular reflection, light is onlyreflected along the unique direction symmetricto the incoming light

P

lightsource

N

R

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Specular Reflection

P

lightsource

N

R

In practice, light is reflected within a small angle ofthe perfect reflection direction - the intensity of thereflection tails off at the outside of the cone. Thisgives a narrow highlight for shiny surfaces, and abroad highlight for dull surfaces.

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Specular Reflection

Thus we want to model intensity, I, as a function of angle between viewer and R, say , like this:

I

with a sharper peak for shinier surfaces, and broader peakfor dull surfaces.

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Specular Reflection

Phong realised this effect can be modelled by:

(cos )n

with a sharper peak for larger n

I

n=1

n=10

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Specular Reflection

I = Ks( cos )n I*

I* = Intensity of light sourceV = View directionR = Direction of perfect

reflected lightKs = Specular-reflection

coefficientI = Reflected intensity

n varies with materiallarge n : shinysmall n : dull

Intensity depends onangle between eye andreflected light ray:

V

lightsourceN

LR

eye

surface

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Specular Reflection

V

lightsourceN

LR

eye

surface

Using cos = R . V (R, V unit vectors), we have:

I () = Ks ( R . V )n I()*

Note: Ks does not depend on the wavelength - hencecolour of highlight is same as source

Note: intensityforms ‘ellipse’ shape

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Ambient, Diffuse and Specular


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Reflection Model -Ambient, Diffuse and

Specular

Reflection Model -Ambient, Diffuse and

Specular

lightsource

I() = Ka()Ia() + ( Kd()( L . N ) + Ks( R . V )n ) I*()

N

LR

Veye

surface

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Example - Ambient Reflection

Example - Ambient Reflection

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Example - Ambient and Diffuse

Example - Ambient and Diffuse

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Reflection Model - Effect of Distance

Reflection Model - Effect of Distance

lightsource

surface

d

The intensity of light reaching a surface decreases with distance - so we use typically:

I*

K1 + K2*d + K3*d2K1, K2, K3 constant- often K2=1, K3=0

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Final Reflection ModelFinal Reflection Model

lightsourceN

LR

Veye

surfaced

I() = Ka()Ia() + ( Kd()( L . N ) + Ks( R . V )n ) I*()

K1 + K2*d + K3*d2

This needs to be applied for every light source in the scene

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Phong illumination model: Ks 0.0 to 1.0, Kd 0.0 to 1.0(Ka = 0.7, n = 10.0)

Ks

Kd

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Phong Illumination Model: Ks 0.0 to 1.0; n = 10.0 to 810.0(Ka = 0.7, Kd = 1.0)

n

Ks

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Practicalities - Effect of Colour

Practicalities - Effect of Colour

The Phong reflection model gives reflection for each wavelength in visible spectrum

In practice, we assume light to be composed as a mixture of RGB (red, green, blue) components - and reflection model is applied for each component

Coefficients of ambient-reflection (Ka) and diffuse-reflection (Kd) have separate components for RGB

Coefficient of specular-reflection (Ks) is independent of colour in Phong model but ….

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Specular Reflection in Reality

Specular Reflection in Reality

Really… specular reflection depends a little bit on:– Angle of incidence of light– Material proerties of surface

Thus OpenGL for example will allow different specular reflection coefficients in R,G, B channels

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Practicalities - Effect of Distance

Practicalities - Effect of Distance

There are advantages in assuming light source and viewer are at infinity– L and V are then fixed for whole

scene and calculations become simpler

Lights at infinity are called directionaldirectional lights

Lights at a specified position are called positionalpositional, or point point, lights

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Programming Reflection in OpenGL

Programming Reflection in OpenGL

Light sources– Read pp13-14 of

guide– To set position

glLightfv(GL_LIGHT1, GL_POSITION, ptCoords)

– To set colour

glLightfv(GL_LIGHT1, GL_DIFFUSE, rgba_colour)

– Remember to activate lights (glEnable)

Surface Reflection– Read p15 of guide– To set material

property – ie reflection coeffs (at each vertex of model)

glMaterialfv (GL_FRONT, GL_DIFFUSE, myDiffuse)

whereGlfloat myDiffuse[] = {0.8, 0.3, 0.4, 1.0}

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Coursework 3Coursework 3

London Eye

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AcknowledgementsAcknowledgements

Thanks to Alan Watt for the images

13.1 Si23_03 SI23 Introduction to Computer Graphics Lecture 13 – Simple Reflection Model.

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Transcript of 13.1 Si23_03 SI23 Introduction to Computer Graphics Lecture 13 – Simple Reflection Model.