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Course: Texture & Aniosotropy of Materials
Topic: Hough Transform
GERUGANTI SUDHAKAR
PHD(MATERIALS ENGINEERING)
REG.NO: 20ETPM09
An EBSD pattern consists of a number of Kikuchi bands. Each
band comprises a pair of parallel Kikuchi lines. The incident
electron beam is directed to the point of interest (POI) on the
sample surface and thus, the elastic scattering of the electron
beam induces the electrons to diverge from a point just below
the sample surface and to impinge on crystal planes in all
directions..
Backscattered electrons that satisfy Bragg's law for a given
plane generate two diffraction cones from the front and back
surfaces of the plane. These cones are produced for each family
of lattice planes. When these cones intersect the phosphor
screen or camera thin bands are formed. These bands are
called Kikuchi lines. The Kikuchi lines appear as almost straight
lines because the cones are very shallow due to the small Bragg
angle (order 1°) with a very small electron wavelength. EBSD
software can automatically analyze the individual Kikuchi lines
by comparing them with the theoretical Kikuchi lines in
database
a straight line is represented by a line
called the normal line that passes
through the origin and perpendicular to
that straight line.
The form of the normal line is
ρ = x cos(θ) + y sin(θ)
where ρ is the length of the normal line
and
θ is the angle between the normal line
and the x axis.
THANK YOU

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HOUGH TRANSFORM (1).pptx

  • 1. Course: Texture & Aniosotropy of Materials Topic: Hough Transform GERUGANTI SUDHAKAR PHD(MATERIALS ENGINEERING) REG.NO: 20ETPM09
  • 2. An EBSD pattern consists of a number of Kikuchi bands. Each band comprises a pair of parallel Kikuchi lines. The incident electron beam is directed to the point of interest (POI) on the sample surface and thus, the elastic scattering of the electron beam induces the electrons to diverge from a point just below the sample surface and to impinge on crystal planes in all directions..
  • 3. Backscattered electrons that satisfy Bragg's law for a given plane generate two diffraction cones from the front and back surfaces of the plane. These cones are produced for each family of lattice planes. When these cones intersect the phosphor screen or camera thin bands are formed. These bands are called Kikuchi lines. The Kikuchi lines appear as almost straight lines because the cones are very shallow due to the small Bragg angle (order 1°) with a very small electron wavelength. EBSD software can automatically analyze the individual Kikuchi lines by comparing them with the theoretical Kikuchi lines in database
  • 4. a straight line is represented by a line called the normal line that passes through the origin and perpendicular to that straight line. The form of the normal line is ρ = x cos(θ) + y sin(θ) where ρ is the length of the normal line and θ is the angle between the normal line and the x axis.
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