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ShrayanRoy committed Mar 6, 2024
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6 changes: 0 additions & 6 deletions presentation/finalpresentation.Rmd
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Expand Up @@ -233,8 +233,6 @@ $$k(x,y) = \frac{C_{h,r}}{2\pi h^2} e^{-\frac{x^2 + y^2}{2h^2}} \times \text{I}_

* The prior family used is motivated from the observation that the distribution of image gradients have a **sharp peak near zero** and and relatively **heavier tails** than the Gaussian distribution and Laplace distribution.

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```{r ,warning=FALSE,echo=FALSE,out.width='75%',out.height='30%',fig.align='center',echo=FALSE,fig.cap="Figure: Eight sharp images and their density plot of horizontal gradients"}
knitr::include_graphics("pimg/prior1.png")
Expand Down Expand Up @@ -337,8 +335,6 @@ $$\hat{\theta} = \underset{\boldsymbol{\theta}}{\text{argmax}} \ \log L(\boldsym

* Simulated experiments using disc kernel are conducted for this purpose.

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* We consider a sequence of values for $r \in [1,4]$ with $\Delta{r} = 0.05$, and for $\sigma \in [0.01,0.4]$ with $\Delta{\sigma} = 0.01$, with $\eta = 0.001$ constant.

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* Poor estimation of blur kernel can lead to artifacts.

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```{r ,warning=FALSE,echo=FALSE,out.width='65%',fig.align='center',echo=FALSE,fig.cap="Figure: Effect of poor estimation of radius r in disc kernel (Using Richardson Lucy Algorithm)"}
knitr::include_graphics("pimg/deconv_prob.png")
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6 changes: 0 additions & 6 deletions presentation/finalpresentation.html
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Expand Up @@ -243,8 +243,6 @@

* The prior family used is motivated from the observation that the distribution of image gradients have a **sharp peak near zero** and and relatively **heavier tails** than the Gaussian distribution and Laplace distribution.

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<div class="figure" style="text-align: center">
<img src="pimg/prior1.png" alt="Figure: Eight sharp images and their density plot of horizontal gradients" width="75%" height="30%" />
<p class="caption">Figure: Eight sharp images and their density plot of horizontal gradients</p>
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* Simulated experiments using disc kernel are conducted for this purpose.

--

* We consider a sequence of values for `\(r \in [1,4]\)` with `\(\Delta{r} = 0.05\)`, and for `\(\sigma \in [0.01,0.4]\)` with `\(\Delta{\sigma} = 0.01\)`, with `\(\eta = 0.001\)` constant.

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* Poor estimation of blur kernel can lead to artifacts.

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<div class="figure" style="text-align: center">
<img src="pimg/deconv_prob.png" alt="Figure: Effect of poor estimation of radius r in disc kernel (Using Richardson Lucy Algorithm)" width="65%" />
<p class="caption">Figure: Effect of poor estimation of radius r in disc kernel (Using Richardson Lucy Algorithm)</p>
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