The bidirectional reflectance distribution function (BRDF; ) is a function of four real variables that defines how light is reflected at an opaque surface. It is employed both in the optics of real-world light, in computer graphics algorithms, and in computer vision algorithms. The function takes an incoming light direction,
, and outgoing direction,
(taken in a coordinate system where the surface normal
lies along the z-axis), and returns the ratio of reflected radiance exiting along
to the irradiance incident on the surface from direction
. Each direction
is itself parameterized by azimuth angle
and zenith angle
, therefore the BRDF as a whole is a function of 4 variables. The BRDF has units sr−1, with steradians (sr) being a unit of solid angle.
The BRDF was first defined by Fred Nicodemus around 1965. The definition is:
where is radiance, or power per unit solid-angle-in-the-direction-of-a-ray per unit projected-area-perpendicular-to-the-ray,
is irradiance, or power per unit surface area, and
is the angle between
and the surface normal,
. The index
indicates incident light, whereas the index
indicates reflected light.
The first time I ever wrote a rhyme people laughed
My friends called me impetuous and a little brash
Local rockers were dissing cause I was spittin raps
My father said it's a fantasy, it would never last
I couldn't stop, giving up was irrational
Was skipping meals to save up and build a capital
Discriminated by fiends for bein broke
Subject to jokes, I was in need of neat clothes
Life was provocative, opposite of how it is not
For those who contradict to seek solace in God
Like I was targetted, with some chronic hate
Pretended I'm fine, while everybody walked away
My first ever gig and nobody was there to support me
But for my brother Smokey and his homie who barely had known me
I went ahead and eventually ripped the mic
Ended up making a 100 fans in a single night, now
I'm On My Own
And till this day, I never gave up
I'm On My Own
God never makes mistakes, he is only testing you
Just to see how much of courage and confidence rests in you
So I just, strengthen myself and rinse my soul
Hold onto faith, keep my inner senses bold
Unlike the, people who quite unsatisfied with life
With suicidal minds lying that dying is right
Uh, I reach for the stars, planets and galaxies
A kid on the road to becoming a masterpiece
But, right when I decide it's high time I drop bombs
They fail to recognize Hip Hop as an art form
They love it when they get to see women displaying chests
But not when I sing about it earning my paychecks
These, two faced people I co exist with
Some with enough hate they even wish death
Who cares, I'm doing movies, and I'm singing for stars
While you jealous, I'm chilling with celebs you worshiped as Gods
Now, Backstabbers return to shake hands
And tell me why they'll love me forever and stay friends
I'm searched for like I'm the one to be seeked
Then I'm showered with hate by every soul that underachieves
The most important lesson I learnt while I was growing
Up, was to trust nobody but myself alone
Burried my ego underground as I aim for the sky
And got my head up high till the day that I die
I'm On My Own
And till this day, I never gave up